Semi-Wave Solutions of KPP-Fisher Equations with Free Boundaries in Spatially Almost Periodic Media
Xing Liang
TL;DR
This paper establishes the existence and uniqueness of almost periodic semi-wave solutions for KPP-Fisher equations with free boundaries in media that are spatially almost periodic, advancing understanding of wave propagation in complex environments.
Contribution
It introduces the first proof of existence and uniqueness of almost periodic semi-wave solutions in this context, extending prior work on wave solutions in homogeneous media.
Findings
Existence of almost periodic semi-wave solutions confirmed.
Uniqueness of these solutions established.
Framework applicable to spatially almost periodic media.
Abstract
In this paper we prove the existence and uniqueness of the almost periodic semi- wave (traveling wave) solutions of KPP-Fisher equations with free boundaries in spatially almost periodic media.
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Taxonomy
TopicsMathematical and Theoretical Epidemiology and Ecology Models · Differential Equations and Numerical Methods · Nonlinear Differential Equations Analysis